programs

Programlar

Programlar, evde, okullarda, sergilerde veya müzelerde kullanabileceğiniz yazılım modülleridir. Bütün programlar standart donanımla çalışır. Kamuya açık kullanımlar için ayrıca tercihler ve özellikler  barındırır; örneğin, etkileşimli kiosk modu, dokunmatik ekran arayüzü veya orjinal donanımlı cihaz desteği. Programlar, platformun ana unsurudur; matematiği keşfetmek ve matematik yaratmak  için albenisi yüksek ve üst düzeyde etkileşimli yazılımlardır. 

Future Mobility Simulator

There are many ideas and concepts for the mobility of the future. However, not all of them are easy to implement – new challenges often arise that need to be tested in simulations before they can be applied in real-world settings. This is what the Future Mobility Simulator is all about.

RRRRR

Behind the game “RRRRR” is a real-time simulation of the circular economy of smartphones. You play by placing markers on the table and observing the changes in the beautifully illustrated city.

Numeral Coins

An app to explore numeral systems in different basis using coins.

Classified graphs

Graphs (or networks) are geometric objects consisting of vertices and edges. We can build infinitely many graphs, but we can classify them in families depending on their properties, using what we call “invariants”. Discover how mathematicians classify graphs with this interactive app!

Data Sonification

Do you hear the climate crying? Data sonification makes changes happening on our planet audible. The numbers are not represented in tables or diagrams but in notes. Songs are created from them!

The Gulf Stream

The Gulf Stream is a current in the Atlantic Ocean that brings warmth from tropical waters to the coasts of northern Europe. As a result, temperatures are higher than in other regions similarly close to the Arctic.

Earth grid models

Even with the fastest supercomputers, we cannot fully model all climate processes in all regions of the world. Therefore, we divide the world into small grid cells and calculate the climate processes for these cells in parallel. The size of the cells is called the resolution of the grid. A...

Warming navigator

Explore the temperature trend

Box models

With a box model, we can predict the future by simulating the complex interactions between different processes. The results are often surprising, even though the connections between the processes are well-known and predictable.

Navier-Stokes equations

The movement of balls, cars, and rockets can be explained mathematically. Similarly, the Navier-Stokes equations can explain and predict the movement of fluids, like ocean water, atmosphere gases, an oil spill, smoke, or Currywurstsoße.

General Circulation Models (GCM)

General Circulation Models (GCM) are the most precise tool we have to assert that climate change is a reality. GCMs are detailed models of the whole Earth, divided into many small cells of just a few kilometers’ width.

Turing Game Table

Play as a human or as an artificial intelligence to find out how human thinking differs from how an AI processes things. In which way does the human way of playing differ from the AI’s way of playing? What is the difference between ‘knowing’...

Predictive Policing?

It’s your first day in your new job. Together we will attempt to lower the crime rate of your city. Click through the story and let us dive into a topic full of questions: Where are the limits to using artificial intelligence? How important are transparency and data safety for you? What...

Reinforcement Learning

An AI that uses Reinforcement Learning learns through trial and error by directly interacting with its environment. It’s similar to how humans and animals learn.

Simple Networks

An exhibit to visualize and playfully discover the mechanisms of neural networks.

Neural Numbers

Use your finger to write a number between 0 and 9 in the left box. On the right you can see as which number the AI recognizes your input.

Ethics of autonomous vehicles

We sit in a self-driving car, controlled by an AI. All of a sudden, something unexpected happens. How is the AI going to react? Use the buttons to choose a scenario and see what happens.

Talk to me

An automatic speech recognition exhibit.
Push the “Record”-button and speak into the microphone. You can speak in German or English by selecting the corresponding language before recording.

Gradient Descent

A treasure chest lies at the deepest point of the seabed. You have a limited number of tries to find it. Special probes will help you. They tell you how steep and deep the seabed is at the current position.

Sumory

Let’s play a simple game. Flip the cards to reveal numbers. You have 10 turns to reach the highest possible sum (from your 10 possible flips). On each turn you can either flip a new card, or choose one of the ones you had seen on a previous flip.

Piano Genie

Have fun pretending you’re a piano virtuoso with the help of AI. Use the 1-8 numbered keys in your keyboard or touch the colored buttons to play a full 88 key piano. The more you pretend to be a real player, the better the AI will make you...

Pentatonic Scales

Move through the “Space of Pentatonic Scales” and create your own impressionistic style music by playing pieces by classical composers with only five notes.

The Spectrum of Sound - Analyzer

Sound and its perception has a rich mathematical structure that allows us to understand and create sounds by mixing waves. The Spectrum of Sound is an exhibit composed of two parts: a synthesizer and an analyzer. This is the Analyzer part.

The Sound of Sequences

Hear sequences of numbers as if they were melodies!

AI Jam

Play a few notes on the piano or develop a rhythm on the drums. Try out how the Artificial Intelligence (AI) responds to your music. You can also experiment with different styles and speeds.

Show me music

Dive into a multitude of topics that visualize the complex interrelations of melody, harmony and mathematics. Push the “play” button in each visualization and experience the effect of parameters.

Beat Box

Select an animation, press the “play” button and experiment with the parameters. Try to clap along.

Whitney Music Box

Turn the wheel and get the colored dots moving. Listen carefully.

The Graph Composer

Insert new nodes and connect them. Change the corresponding sound by clicking on the node and select a new note from the scale. Define the note’s duration and apply the different embellishments. You can hear the results in real time.

Con Espressione!

Take the role of a conductor. Move your hand over the sensor on the desk and play with the volume and speed of the piece you hear. Move the slider to get support from our Artificial Intelligence (AI) musician.

Tonnetz

Explore how we can represent the notes in a logical and useful way! The Tonnetz is a pictorial representation of the notes in the plane that reveal affinities and structures between notes and on concrete music pieces.

Scale Lab

Which sounds can be called “notes”, and used to create music? This exhibit is an experimental platform to explore the characteristics of sound and scales.

The Spectrum of Sound - Synthesizer

Sound and its perception has a rich mathematical structure that allows us to understand and create sounds by mixing waves. The Spectrum of Sound is an exhibit composed of two parts: a synthesizer and an analyzer. This is the Synthesizer part.

Pink Trombone

Pink trombone is a model of the human vocal tract that synthesizes human voice from scratch, controllable with your fingers.

Snapshots Slider

Snapshots are short texts on aspects of modern mathematics written by researchers visiting the Mathematisches Forschungsinstitut Oberwolfach. With this Snapshot station, you can browse through all available snapshots by sliding horizontally and read the full snapshot by sliding vertically. Each...

Math to Touch

Math to Touch is a collection of 16 small apps, each of them opening a little mathematical world to be explored.

Mappae mundi

Explore the science of cartography and the geometry of map projections.

MatchTheNet

MatchTheNet is a game about 3-dimensional polytopes for a single player. You will meet the five Platonic Solids and their best friends!

Trip-Lets

Inspired by the cover of the book Gödel, Escher, Bach by Douglas Hofstadter, this is an interactive game to exercise three-dimensional thinking in an interdisciplinary work with English, Spanish, French and Portuguese languages. The game runs on smartphones, tablets and desktop computers.

Future of Glaciers - The Module

Alpine glaciers have been shrinking for more than one century. This trend is expected to continue if the global warming progresses. Thanks to mathematical models, the future evolution of glaciers can be estimated.

TsunaMath

Tsunamis are big oceanic waves that collide violently with the coast. Most often, tsunamis are created by earthquakes that produce a sudden change on the topography of the ocean seabed. This exhibit explains how tsunamis are modeled mathematically, and recreates simulations of historical...

Film Seçkisi

Sergilerinizde kullanmak üzere, IMAGINARY filmlerinin basit ve zarif bir sunumu.

Galeri Slayt Gösterimi

Sergilerinizde kullanılmak üzere, IMAGINARY galerilerinin basit ve zarif bir sunumu.

Formula Morph

Bir Formula Morph istasyonu kurun ve aletler panelini kullanarak kontrolü ele geçirin! Göreviniz: ayarlarla oynayarak cebirsel yüzeylerin nasıl değiştiğini ve birleştiğini keşfetmek.

qi

Interactive viewer for constant mean curvature and constrained Willmore surfaces.

FroZenLight

Küçük karelere bölünmüş ızgara şeklindeki bir yüzeye yerleştirilmiş dairesel aynalar bir ışık ışınını geometrik optik yansıma kurallarına göre yansıtır. Işık kaynağının rastgele konumları düzensiz yansıma motifleri oluştururken ışık kaynaklarını düzgün simetrik yansıma motifleri oluşturacak...

Yerkürenin Matematiği'nden Beş Deneyim

Bu proje, Yerkürenin Matematiği ile ilşkili beş farklı «deneyimi» içeriyor: Haritacılık (Cartography), Dinamik Sistem (Dynamical System), Wator, Sıcaklık (Temperature) ve Hücresel Otomat (Cellular Automata).

Dune Ash

Dune Ash Avrupa’daki volkanik püskürme için oluşturulmuş etkileşimli bir simülasyondur. Önce bir yanardağ yerleştirirerek başlayıp daha sonra bir rüzgar alanı ekleyebilir ve zamanla etrafa saçılan kül bulutlarını inceleyebilrsiniz!

Crystal Flight

Experience this interactive program and fly through a quartz, fluorite, or diamond crystal. You can steer a miniature spaceship through the crystal structures using your finger on a touchscreen, also in 3D.

Morenaments

Morenaments programıyla Öklid uzayının 17 simetri grubundan birine ait olan simetrik motifleri kolayca resmedebilirsiniz. Bunların geometrik özelliklerini keşfedin ve döndürme merkezleriyle yansıma eksenlerinin iç yapısını inceleyin. Ya da daha yaratıcı resimler yapın ve birkaç küçük dokunuşun...

SURFER

SURFER ile form ve formül -matematik ve sanat- arasındaki ilişki hakkında etkileşimli bir biçimde deneyim kazanabilirsiniz. Basit denklemler yazarak güzel şekiller -uzayda yüzeyler- yaratabilirsiniz. SURFER, 2008 Almanya Matematik Yılı′nda...